Simplifying Expressions
Evaluate: 9 - (5/2)
13/2
Write the square root of x using exponent notation
x^(1/2)
Describe the transformation from
f(x) = square root of x
to
g(x) = square root of (x + 4) minus 5
Shift left 4 units and down 5 units
State the domain of f(g(x)) when:
f(x) = 3x^2 + 6
g(x) = x + 5
Domain: all real numbers
This frog meme shows a sad, humanoid frog and is often used to express existential despair online.
Who is Pepe the Frog?
Simplify: 5^(3/4)*5^(5)
5^(23/4)
Simplify the fourth root of 768
4 * fourth root of 3
Solve: 2 minus square root of x equals 0
x = 4
Find the inverse of f(x) = 16x^2, where x<0
inverse = - square root of (x) divided by 4
Which actor voiced both Darth Vader and The Lion King‘s Mufasa?
James Earl Jones
Expand (f + g)(x) given:
f(x) = 4x^3 + 2x^2 - 6x
g(x) = -5x^3 - 5x^2 - 4x - 1
(f + g)(x) = -x^3 - 3x^2 - 10x - 1
Simplify: square root of (9 * x^2)
3x
Solve: x equals square root of (x + 42)
x = 6
Find the inverse of f(x) = (1/6)x^3 - 8
inverse = cube root of (6(x + 8))
Britney Spears, Christina Aguilera, Justin Timberlake and Fergie all got their start on which TV show?
The Mickey Mouse Club
Multiply (f * g)(x) given:
f(x) = 4x
g(x) = x^(1/4)
4x^(5/4)
Convert x^(6/7) into radical form
seventh root of (x^6)
Solve: square root of (5x - 7) equals square root of (2x + 5)
x = 4
Find the inverse of f(x) = 2x + 7
inverse = (x - 7) / 2
What are the names of Kim Kardashian and Kanye West’s kids? (100pts for each correct answer)
North, Saint, Chicago and Psalm
Find f(g(x)) given:
f(x) = 3x^2 + 6
g(x) = x + 5
3(x + 5)^2 + 6
Convert the cube root of x^5 into exponent form
x^(5/3)
3 times the square root of (15x + 9) equals 9
x = 2/5
How do you verify that two functions are inverses?
Check by confirming f(f^-1(x)) = x and f^-1(f(x)) = x
This band’s 1973 album The Dark Side of the Moon spent over 900 weeks on the Billboard 200 chart.
Who is Pink Floyd?